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VERSION:2.0
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X-PUBLISHED-TTL:P1W
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UID:69da7dc628b2f
DTSTART:20260413T100000Z
SEQUENCE:0
TRANSP:OPAQUE
DTEND:20260413T110000Z
LOCATION:Seminar Room
SUMMARY:ICFO | KSHITI SNEH RAI
CLASS:PUBLIC
DESCRIPTION:In this work\, we show how to efficiently simulate pure quantum
  states in one dimensional systems that have both finite energy-density (i
 .e. in the bulk of the spectrum) and vanishingly small energy fluctuations
 . We analyze a tensor network algorithm that produces matrix product state
 s whose energy-variance decreases as the bond dimension increases. Our res
 ults imply that variances as small as &prop\; 1 / log N can be achieved wi
 th polynomial bond dimension. This establishes that there exist states wit
 h a very narrow support in the bulk of the spectrum that still have modera
 te entanglement entropy\, in contrast with typical eigenstates that displa
 y a volume law. Our main technical tool is a Berry-Esseen theorem for spin
  systems\, which strengthens central limit behavior for the energy distrib
 ution of product states.
DTSTAMP:20260411T165846Z
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